MEDIUM
11th ICSE
IMPORTANT
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A particle is moving with velocity v=k(yi^+xj^), where k is a constant. The general equation for its path is:

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Important Questions on Motion in One and Two Dimensions

MEDIUM
11th ICSE
IMPORTANT
A projectile is fired from the surface of the earth with a velocity of 5 ms-1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 ms-1 at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ms-2)
MEDIUM
11th ICSE
IMPORTANT

Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B.

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HARD
11th ICSE
IMPORTANT
A particle of mass m is projected from the ground with an initial speed u0 at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u0. The angle that the composite system makes with the horizontal immediately after the collision is:
MEDIUM
11th ICSE
IMPORTANT
A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be
MEDIUM
11th ICSE
IMPORTANT
A particle is projected at 60° to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
HARD
11th ICSE
IMPORTANT
A projectile is given an initial velocity of (i^+2j^) ms-1, when i^ is along the ground and j^ is along the vertical. If g=10 ms-2, the equation of its trajectory is: